The manager of a paint supply store wants to estimate the actual a mount of paint contained in 5-litre cans purchased from a nationally known manufacturer. It is known from the manufacturer's specifications that the population standard deviation of the amount of paint is equal to 0.18 litres. A random sample of 90cans is selected, and the sample mean amount of paint per 5-litre can is 4.96 litres.

Calculate a 99% confidence interval estimate of the population mean amount of paint included in a 5-litre can. Round your answer to two decimal placeswith the lower bound first and the upper bound last.

We are 99% confident that the true population mean amount of paint included in a 5-litre canis betweenandlitres.

Ifthe manager of the same paint supply store wants to estimate the mean amount of paint in a 5-litre can to be within

0.08 litres with 90% confidence, what sample size is needed?